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Simplifying -4(2x + -5) + 3x = 7x + -10 Reorder the terms: -4(-5 + 2x) + 3x = 7x + -10 (-5 * -4 + 2x * -4) + 3x = 7x + -10 (20 + -8x) + 3x = 7x + -10 Combine like terms: -8x + 3x = -5x 20 + -5x = 7x + -10 Reorder the terms: 20 + -5x = -10 + 7x Solving 20 + -5x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + -5x + -7x = -10 + 7x + -7x Combine like terms: -5x + -7x = -12x 20 + -12x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -12x = -10 + 0 20 + -12x = -10 Add '-20' to each side of the equation. 20 + -20 + -12x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = -10 + -20 -12x = -10 + -20 Combine like terms: -10 + -20 = -30 -12x = -30 Divide each side by '-12'. x = 2.5 Simplifying x = 2.5
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